应用速度势原理，推导矩形液箱内液体振动的特征方程，编制相应有限元程序，计算获得液体表面单元的质量矩阵和液体内部单元刚度矩阵.以双层底液舱为模型，分析液体晃动频率与充液高度的关系.结果表明，计算结果与解析解吻合较好.
Abstract
Based on velocity potential theory, the vibration characteristic equation of rectangular liquid tank is derived. Element mass matrix of free surface and element stiffness matrix inside the liquid are also calculated by finite element method (FEM) codes. The relation between liquid sloshing frequencies and the liquid height is analyzed for the double bottom tank, and the numerical results are compared with the analytical solution, which shows that the proposed method is available.
关键词
矩形液箱 /
液体晃动 /
速度势 /
有限元
Key words
rectangular liquid tank /
liquid sloshing /
velocity potential /
finite element method(FEM)
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参考文献
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基金
中央高校基本科研业务费资助项目( 2011QN106) .
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